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Finding the Fourth Proportional to 284.35, 426.35 and 154.12

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Solution

The fourth proportional to 284.35, 426.35 and 154.12 is: 231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.35 : 426.35 = 154.12 : x
  2. Step 2: Convert to fraction form
    284.35/426.35 = 154.12/x
  3. Step 3: Cross multiply
    284.35x = 426.35 × 154.12
  4. Step 4: Simplify right side
    284.35x = 65,707.17
  5. Step 5: Solve for x
    x = 65,707.17/284.35
  6. Step 6: Final answer
    x = 231.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.